THE SCHUR-HORN THEOREM FOR OPERATORS WITH FINITE SPECTRUM
Küçük Resim Yok
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The carpenter problem in the context of II1 factors, formulated by Kadison, asks: Let A subset of M be a masa in a type II1 factor and let E be the normal conditional expectation from M onto A. Then, is it true that for every positive contraction A in A, there is a projection P in M such that E(P) = A? In this note, we show that this is true if A has finite spectrum. We will then use this result to prove an exact Schur-Horn theorem for positive operators with finite spectrum in type II1 factors and an approximate Schur-Horn theorem for general positive operators in type II1 factors.
Açıklama
Anahtar Kelimeler
Subalgebras
Kaynak
Proceedings of The American Mathematical Society
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
142
Sayı
10
